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Finding the Third Proportional to 311,980.50 and 456,270.75

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Solution

The third proportional to 311,980.50 and 456,270.75 is: 667,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,980.50 : 456,270.75 = 456,270.75 : x
  2. Step 2: Convert to fraction form
    311,980.50/456,270.75 = 456,270.75/x
  3. Step 3: Cross multiply
    311,980.50x = 456,270.75 × 456,270.75
  4. Step 4: Simplify right side
    311,980.50x = 208,182,997,305.56
  5. Step 5: Solve for x
    x = 208,182,997,305.56/311,980.50
  6. Step 6: Final answer
    x = 667,294.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.